BC05 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BC05 to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert BC05 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BC05 by 16⁰, multiply the second to last digit in BC05 by 16¹, multiply the third to last digit in BC05 by 16², multiply the fourth to last digit in BC05 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
0 × 16¹ = 0
C × 16² = 3072
B × 16³ = 45056

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

5 + 0 + 3072 + 45056 = 48133

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

48133 ÷ 2 = 24066 with 1 remainder
24066 ÷ 2 = 12033 with 0 remainder
12033 ÷ 2 = 6016 with 1 remainder
6016 ÷ 2 = 3008 with 0 remainder
3008 ÷ 2 = 1504 with 0 remainder
1504 ÷ 2 = 752 with 0 remainder
752 ÷ 2 = 376 with 0 remainder
376 ÷ 2 = 188 with 0 remainder
188 ÷ 2 = 94 with 0 remainder
94 ÷ 2 = 47 with 0 remainder
47 ÷ 2 = 23 with 1 remainder
23 ÷ 2 = 11 with 1 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to BC05 hexadecimal to binary:

BC05 hexadecimal = 1011110000000101 binary

Hexadecimal to Binary Converter
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